University of Sydney Algebra Seminar

Noelle Antony
(University of Sydney)

Friday 21st October, 12.05-12.55pm, Carslaw 275

The natural embedding of positive singular Artin monoids

We will explore some combinatorial properties of
singular Artin monoids and invoke them to prove that
a positive singular Artin monoid of arbitrary Coxeter
type necessarily injects into the corresponding
singular Artin monoid. This is an extension of
L. Paris' result that positive Artin monoids embed in
the corresponding Artin groups: adjoining inverses of
the generators does not produce any new identities
between words that do not involve those inverses.